Skip to main content
Have a personal or library account? Click to login
Approximate Controllability of Infinite Dimensional Systems of the n-th Order Cover

Approximate Controllability of Infinite Dimensional Systems of the n-th Order

International Journal of Applied Mathematics and Computer Science
Volume 18 (2008): Issue 2 (June 2008)
By:   
Open Access
|Jun 2008
References

References

  1. Alotaibi S., M. Sen B. Goodwine and K.T. Yang (2004). Controllability of cross-flow heat exchangers,47: 913-924.
    Open DOISearch in Google Scholar
  2. Bellman R. (1960)., McGraw-Hill, New York.
    Search in Google Scholar
  3. Balakrishnan A.V. (1998)., Cambridge University Press, Cambridge, pp. 121-201.
    Search in Google Scholar
  4. Brammer R. F. (1972). Controllability in linear autonomous systems with positive controllers,10: 339-353.
    Open DOISearch in Google Scholar
  5. Butkowskij A. G. (1979)., Nauka, Moscow, (in Russian).
    Search in Google Scholar
  6. Chen C.T. (1970)., Holt, Rinehart and Winston Inc, New York.
    Search in Google Scholar
  7. Chen G. and D.L. Russel (1982). A mathematical model for linear elastic systems with structural damping,39: 433-454.
    Open DOISearch in Google Scholar
  8. Chen G. and R. Triaggani (1990). Gevrey class semigroup arising from elastic systems with gentle dissipation: The case 0 < α < 1/2,100(2): 401-415.
    Open DOISearch in Google Scholar
  9. Coleman M.P. and H. Wang (1993). Analysis of vibration spectrum of a Timoshenko beam with boundary damping by the wave method,17: 223-239.
    Open DOISearch in Google Scholar
  10. Curtain R. and H. Zwart (1995)., Springer-Verlag, New York.
    Open DOISearch in Google Scholar
  11. Davison E.J. and S.H. Wang (1975). New results on the controllability and observability of general composite systems,20: 123-128.
    Open DOISearch in Google Scholar
  12. Dunford N. and J. Schwartz (1963)., Interscience, New York.
    Search in Google Scholar
  13. Fattorini H.O. (1966). Some remarks on complete controllability,4: 686-694.
    Open DOISearch in Google Scholar
  14. Fattorini H.O. (1967). On complete controllability of linear systems,3: 391-402.
    Open DOISearch in Google Scholar
  15. Fattorini H.O. and Russel D.L. (1971). Exact controllability theorem for linear parabolic equations in one space dimension,43: 272-292.
    Open DOISearch in Google Scholar
  16. Górecki H. (1986)., WNT, Warsaw (in Polish).
    Search in Google Scholar
  17. Huang F. (1988). On the mathematical model with analytic damping,26(3): 714-724.
    Open DOISearch in Google Scholar
  18. Ito K. and N. Kunimatsu (1988). Stabilization of non-linear distribuded parameter vibratory system,48:(2) 2389-2415.
    Open DOISearch in Google Scholar
  19. Ito K. and N. Kunimatsu (1991). Semigroup model of structurally damped Timoshenko beam with boundary input,54: 367-391.
    Open DOISearch in Google Scholar
  20. Kalman R.E. (1960). On the general theory of control systems,, London, pp. 481-493.
    Search in Google Scholar
  21. Kim J.U. and Y. Renardy (1987). Boundary control of the Timoshenko beam,25: 1417-1429.
    Open DOISearch in Google Scholar
  22. Kaczorek T. (1998)., WNT Warsaw (in Polish).
    Search in Google Scholar
  23. Klamka J. (2000). Schauder's fixed point theorem in nonlinear controllability problems,29: 1377-1393.
    Search in Google Scholar
  24. Klamka J. (2002). Constrained exact controllability of semilinear systems,47(2): 139-147.
    Open DOISearch in Google Scholar
  25. Klamka J. (1992). Approximate controllability of second order dynamical systems,2: 135-148.
    Search in Google Scholar
  26. Klamka J. (1991)., Kluwer, Dordrecht.
    Search in Google Scholar
  27. Klamka J. (1976). Controllability of linear systems with time-variable delays in control,24: 869-878.
    Open DOISearch in Google Scholar
  28. Klamka J. (1977). Absolute controllability of linear systems with time-variable delays in control,26: 57-63.
    Open DOISearch in Google Scholar
  29. Labbe S. and E. Trelat (2006). Uniform controllability of semidiscrete approximations of parabolic control systems,55(7): 597-609.
    Open DOISearch in Google Scholar
  30. Mahmudov N.I. and S. Zorlu (2005). Controllability of semilinear stochastic systems,78(13): 997-1004.
    Open DOISearch in Google Scholar
  31. Miller L. (2006). Non-structural controllability of linear elastic systems with structural damping,236(2): 592-608.
    Open DOISearch in Google Scholar
  32. Respondek J. (2005a). Controllability of dynamical systems with constraints,54(4): 293-314.
    Open DOISearch in Google Scholar
  33. Respondek J. (2005b). Numerical approach to the non-linear diofantic equations with applications to the controllability of infinite dimensional dynamical systems,78(13/10): 1017-1030.
    Open DOISearch in Google Scholar
  34. Respondek J. (2007). Numerical analysis of controllability of diffusive-convective system with limited manipulating variables,34(8): 934-944.
    Open DOISearch in Google Scholar
  35. Sakawa Y. (1974). Controllability for partial differential equations of parabolic type,12: 389-400.
    Open DOISearch in Google Scholar
  36. Sakawa Y. (1984). Feedback control of second order evolution equations with damping,22: 343-361.
    Open DOISearch in Google Scholar
  37. Sakawa Y. (1983). Feedback stabilization of linear diffusion system,21(5): 667-675.
    Open DOISearch in Google Scholar
  38. Shi D.H., S.H. Hou and D. Feng (1998). Feedback stabilization of a Timoshenko beam with an end mass,69(2): 285-300.
    Open DOISearch in Google Scholar
  39. Shi D.H., D. Feng and Q. Yan (2001). Feedback stabilization of rotating Timoshenko beam with adaptive gain,74(3): 239-251.
    Open DOISearch in Google Scholar
  40. Shubov M.A. (1999). Spectral operators generated by Timoshenko beam model,38: 249-258.
    Open DOISearch in Google Scholar
  41. Shubov M.A. (2000). Exact controllability of damped Timoshenko beam,17: 375-395.
    Open DOISearch in Google Scholar
  42. Schmitendorf W.E. and B.R. Barmish (1980). Null controllability of linear system with constrained controls,18: 327-345.
    Open DOISearch in Google Scholar
  43. Tanabe H. (1979)., Pitman, London.
    Search in Google Scholar
  44. Triggiani R. (1975). Controllability and observability in Banach space with bounded operators,13: 462-491.
    Open DOISearch in Google Scholar
  45. Triggiani R. (1976). Extensions of rank conditions for controllability and observability to Banach spaces with unbounded operators,14: 313-338.
    Open DOISearch in Google Scholar
  46. Triggiani R. (1978). On the relationship between first and second order controllable systems in Banach spaces,16: 847-859.
    Open DOISearch in Google Scholar
  47. Vieru A. (2005). On null controllability of linear systems in Banach spaces,54(4): 331-337.
    Open DOISearch in Google Scholar
  48. Xu G.Q. (2005). Boundary feedback exponential stabilization of a Timoshenko beam with both ends free,78(4/10): 286-297.
    Open DOISearch in Google Scholar
DOI: https://doi.org/10.2478/v10006-008-0018-7 | Journal eISSN: 2083-8492 | Journal ISSN: 1641-876X
Journal RSS Feed
Language: English
Page range: 199 - 212
Published on: Jun 16, 2008
Published by: University of Zielona Góra
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year
Keywords:
inverse Vandermonde matrix,
basic symmetrical polynomials,
distributed parameter system,
linear operators,
controllability
Related subjects:
Mathematics,
Applied mathematics

© 2008 Jerzy Respondek, published by University of Zielona Góra
This work is licensed under the Creative Commons License.

Volume 18 (2008): Issue 2 (June 2008)
Previous article
Next article